3 papers
math.AT2026
Surgery on manifold operads
Xujia Chen, Connor Malin, Paolo Salvatore
We study cobordisms of a class of topological operads called ``manifold operads''. These operads are generalizations of the Fulton-MacPherson operad: an operad built from configura…
math.AT2025
Unstable -semiadditivity as classifying Goodwillie towers
Connor Malin
A stable -category is -semiadditive if the norms for all finite group actions are equivalences. In the presence of -semiadditivity, Goodwillie calculus simplifies dra…
math.AT2024
Koszul duality and a classification of stable Weiss towers
Connor Malin, Niall Taggart
We introduce a version of Koszul duality for categories, which extends the Koszul duality of operads and right modules. We demonstrate that the derivatives which appear in Weiss ca…